Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models
| Autor: | Miyoshi, Naoto, Shirai, Tomoyuki |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider a spatial stochastic model of wireless cellular networks, where the base stations (BSs) are deployed according to a simple and stationary point process on $\mathbb{R}^d$, $d\ge2$. In this model, we investigate tail asymptotics of the distribution of signal-to-interference ratio (SIR), which is a key quantity in wireless communications. In the case where the path-loss function representing signal attenuation is unbounded at the origin, we derive the exact tail asymptotics of the SIR distribution under an appropriate sufficient condition. While we show that widely-used models based on a Poisson point process and on a determinantal point process meet the sufficient condition, we also give a counterexample violating it. In the case of bounded path-loss functions, we derive a logarithmically asymptotic upper bound on the SIR tail distribution for the Poisson-based and $\alpha$-Ginibre-based models. A logarithmically asymptotic lower bound with the same order as the upper bound is also obtained for the Poisson-based model. Comment: Dedicated to Tomasz Rolski on the occasion of his 70th birthday |
| Databáze: | arXiv |
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